The First Dirac Eigenvalue on Manifolds with Positive Scalar Curvature
classification
🧮 math.DG
math.SP
keywords
curvaturediraceigenvaluemetricpositivescalaradmittingarbitrarily
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We show that on every compact spin manifold admitting a Riemannian metric of positive scalar curvature Friedrich's eigenvalue estimate for the Dirac operator can be made sharp up to an arbitrarily small given error by choosing the metric suitably.
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